On the existence of Berge's strong equilibrium
AbstractIn this paper, we establish the existence of Berge's strong equilibrium for games with n persons in infinite dimensional strategy spaces in the case where the payoff function of each player is quasi-concave. Moreover, we study the continuity of Berge's strong equilibrium correspondence and prove that most of Berge's strong games are essential.
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Date of creation: Jul 2011
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Nash equilibrium; strong Berge equilibrium; fixed point; essential games.;
Other versions of this item:
- Messaoud Deghdak & Monique Florenzano, 2011. "On the existence of Berge's strong equilibrium," Documents de travail du Centre d'Economie de la Sorbonne 11039, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne.
- NEP-ALL-2011-08-09 (All new papers)
- NEP-GTH-2011-08-09 (Game Theory)
- NEP-HPE-2011-08-09 (History & Philosophy of Economics)
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- Monique Florenzano, 2007.
UniversitÃ© Paris1 PanthÃ©on-Sorbonne (Post-Print and Working Papers)
- Monique Florenzano, 2008. "General equilibrium," Documents de travail du Centre d'Economie de la Sorbonne b08005, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne.
- Rabia Nessah & Moussa Larbani & Tarik Tazdait, 2009. "On Berge Equilibria," Working Papers 2010-ECO-16, IESEG School of Management.
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- Larbani, Moussa & Nessah, Rabia, 2008. "A note on the existence of Berge and Berge-Nash equilibria," Mathematical Social Sciences, Elsevier, vol. 55(2), pages 258-271, March.
- Yong-Hui Zhou & Jian Yu & Shu-Wen Xiang, 2007. "Essential stability in games with infinitely many pure strategies," International Journal of Game Theory, Springer, vol. 35(4), pages 493-503, April.
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